304412021133120 has 168 divisors, whose sum is σ = 1054077700501800. Its totient is φ = 80631729868800.

The previous prime is 304412021133071. The next prime is 304412021133131. The reversal of 304412021133120 is 21331120214403.

304412021133120 is a `hidden beast` number, since 3 + 0 + 4 + 412 + 0 + 211 + 3 + 31 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 529308631296 + 303882712501824 = 727536^2 + 17432232^2 .

It is a super-2 number, since 2×304412021133120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354264231 + ... + 355122470.

Almost surely, 2^{304412021133120} is an apocalyptic number.

304412021133120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

304412021133120 is an abundant number, since it is smaller than the sum of its proper divisors (749665679368680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

304412021133120 is a wasteful number, since it uses less digits than its factorization.

304412021133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709386873 (or 709386860 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 304412021133120 its reverse (21331120214403), we get a palindrome (325743141347523).

The spelling of 304412021133120 in words is "three hundred four trillion, four hundred twelve billion, twenty-one million, one hundred thirty-three thousand, one hundred twenty".